 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 49, Issue 4 / 2014 | Next article >> |
| D.A. Shlyakhin, "Forced Axisymmetric Vibrations of a Thick Circular Rigidly Fixed Piezoceramic Plate," Mech. Solids. 49 (4), 435-444 (2014) |
| Year |
2014 |
Volume |
49 |
Number |
4 |
Pages |
435-444 |
| DOI |
10.3103/S0025654414040086 |
| Title |
Forced Axisymmetric Vibrations of a Thick Circular Rigidly Fixed Piezoceramic Plate |
| Author(s) |
D.A. Shlyakhin (Samara State Architecture and Civil Engineering University, ul. Molodogvardeyskaya 194, Samara, 443001 Russia, d-612-mit2009@yandex.ru) |
| Abstract |
A new closed-form solution of the axisymmetric nonstationary problem of elasticity is constructed for a circular thick piezoceramic plate whose outer cylindrical surface is rigidly fixed. The use of mixed boundary conditions for a curvilinear plane allows one to obtain sufficiently simple computational relations. The closed-form solution is constructed by the method of expansion in the vector eigenfunctions in the form of a structure algorithm of finite transformations. The obtained solutions are used to determine the natural vibration frequency, the stress-strain state of the considered element, and all characteristics of the induced electric field. |
| Keywords |
forced axisymmetric vibrations, thick piezoceramic plate, problem of electroelasticity |
| References |
| 1. | V. T. Grinchenko, A. F. Ulitko, and N. A. Shul'ga,
Mechanics of Coupled Fields in Structural Elements. Vol. 5.
Electroelasticity
(Naukova Dumka, Kiev, 1989)
[in Russian]. |
| 2. | N. A. Shul'ga and A. M. Bolkiev,
Oscillations of Piezoelectric Bodies
(Naukova Dumka, Kiev, 1990)
[in Russian]. |
| 3. | M. Hussein and P. R. Heyliger,
"Discrete Layer Analysis of Axisymmetric Vibrations of Laminated Piezoelectric Cylinders,"
J. Sound Vibr.
192 (5), 995-1013 (1996). |
| 4. | A. Ya. Grigorenko, T. A. Efimova, and I. A. Loza,
"On an Approach to the Study of Vibrations of Hollow Piezoceramic Cylinders of Finite Length,"
Dokl. NAN Ukr.,
No. 6, 61-67 (2009). |
| 5. | Yu. E. Senitskii,
"The Dynamic Problem of Electroelasticity for a Non-Homogeneous Cylinder,"
Prikl. Mat. Mekh.
57 (1), 116-122 (1993)
[J. Appl. Math. Mech. (Engl. Transl.)
57 (1), 133-139 (1993)]. |
| 6. | D. A. Shlyakhin,
"Nonstationary Axisymmetric Problem of Electroelasticity for a Piezoceramic Cylinder with Circular Polarization,"
Zh. Prikl. Mekh. Tekhn. Fiz.
50 (1), 12-21 (2009)
[J. Appl. Mech. Tech. Phys. (Engl. Transl.)
50 (1), 9-17 (2009)]. |
| 7. | V. Z. Parton and B. A. Kudryavtsev,
Electromagnetoelasticity of Piezoelectrics and Electrically Conductive Solid
(Nauka, Moscow, 1988; Gordon & Breach Science Publishers, New York-London-Paris-Montreux-Tokyo-Melbourne, 1988). |
| 8. | A. N. Guz' (Editor),
Spatial Problems of Elasticity and Plasticity,
(Naukova Dumka, Kiev, 1985)
[in Russian]. |
|
| Received |
18 October 2011 |
| Link to Fulltext |
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